Question

Find the slope of the line:
5x+3y=6

Answer 1

`5x+3y=6\\ 3y=-5x+6\\ y=-(5)/(3)x+2\\ \boxed{m=-(5)/(3)}`

Answer 2

To get the result we have to transform given formula into y=ax+b form.
Lets do this
5x+3y=6 /-5x (subtract 5x both sides)
3y=-5x+6 /:3 (divide both sides by 3)
y=
`-(5)/(3) x+6`
In form y=ax+b we know that a is slope and b is y intersect. We can read from our transformed equation that slope a=
`-(5)/(3)`and its the result